6005731680 has 576 divisors, whose sum is σ = 23247544320. Its totient is φ = 1401753600.

The previous prime is 6005731673. The next prime is 6005731691. The reversal of 6005731680 is 861375006.

6005731680 is a `hidden beast` number, since 6 + 0 + 0 + 573 + 1 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45845215 + ... + 45845345.

It is an arithmetic number, because the mean of its divisors is an integer number (40360320).

Almost surely, 2^6005731680 is an apocalyptic number.

6005731680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6005731680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11623772160).

6005731680 is an abundant number, since it is smaller than the sum of its proper divisors (17241812640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6005731680 is a wasteful number, since it uses less digits than its factorization.

6005731680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6005731680 is about 77496.6559278528. The cubic root of 6005731680 is about 1817.6990283352.

It can be divided in two parts, 600573 and 1680, that added together give a triangular number (602253 = T₁₀₉₇).

The spelling of 6005731680 in words is "six billion, five million, seven hundred thirty-one thousand, six hundred eighty".